Boolean Algebra and Logic Simplification Questions and Answers

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Boolean Algebra and Logic Simplification Questions with Answers form the foundation of digital electronics. These problems focus on simplifying logical expressions using laws of Boolean algebra, Karnaugh maps, and logic gates. Mastering these questions is essential for students appearing in GATE, ISRO, ECIL, and DRDO exams. Practicing these digital electronics MCQs with step-by-step solutions improves circuit optimization skills and enhances overall exam performance.

Boolean Algebra and Logic Simplification

Showing 10 of 41 questions

21. Which of the examples below expresses the commutative law of multiplication?

  • A + B = B + A
  • AB = B + A
  • AB = BA
  • AB = A × B
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22. The expression W(X + YZ) can be converted to SOP form by applying which law?

  • associative law
  • commutative law
  • distributive law
  • none of the above
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23. The commutative law of addition and multiplication indicates that:

  • we can group variables in an AND or in an OR any way we want
  • an expression can be expanded by multiplying term by term just the same as in ordinary algebra
  • the way we OR or AND two variables is unimportant because the result is the same
  • the factoring of Boolean expressions requires the multiplication of product terms that contain like variables
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24. Which of the following combinations cannot be combined into K-map groups?

  • corners in the same row
  • corners in the same column
  • diagonal
  • overlapping combinations
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25. A variable is a symbol used to represent a logical quantity that can have a value of 1 or 0.

  • TRUE
  • FALSE
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26. The OR function is Boolean multiplication and the AND function is Boolean addition.

  • TRUE
  • FALSE
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27. The product-of-sums (POS) is basically the ORing of ANDed terms.

  • TRUE
  • FALSE
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28. SOP stands for sum-of-powers.

  • TRUE
  • FALSE
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29. The VHDL editor provided with a schematic editor development system will produce a file with the extension .vhd, which can be used by the simulator to test the output of the logic design.

  • TRUE
  • FALSE
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30. In the commutative law, in ORing and ANDing of two variables, the order in which the variables are ORed or ANDed makes no difference.

  • TRUE
  • FALSE
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